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1 a student takes a test where two points are given for every correct answer and 3 points are deducted for every wrong answer if the students scores 40 points on a 30 question test how many questions did she answer correctly

brandon2 said: here is the formula to figure it out but the 90 point test with 2pt and 9pt questions does not possible. The 100 point test with 3 and 11pt questions does work. The correct way to figure this out is to make two formulas with the information you know.
M= # of multiple choice questions
T= # of T/F questions
We know that M + T = 20 total questions. That is one formula!
We also know that (number of M question x 11pts each) plus (number of T questions x 3 points each) = the total score of 100. Or, (11)M + (3)T = 100. That is your second formula!
Now solve the simple formula for one variable and plug into the second formula so you only have 1 variable to solve for and solve for it.
M+T=20 or T=20-M (Subtracting M from both sides)
plug that in for T to the second equation.
(11)M + (3)(20-M) = 100
now distribute the 3.
(11)M + 60 - 3M = 100
now solve for M
11M - 3M = 100 - 60
8M=40
M=5.
So you have 5 Multiple Choice question. Put that in for M into T+M=20 and solve for T.
T+5=20 or T=20-5 so T= 15 T/F questions.. Sorry, I meant to say the 90pt test example does NOT work (I left out the word `not` in the first sentence) if you want all questions to be worth whole numbers. the 100pt test example does work and that is what is used in the example.

"Divide how many questions by 100 if u get a..."

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Divide how many questions by 100 if u get a remainder just take it off then whatever your answer is that is how many points a peice. Example: 10 questions divide that by 100 then you get 10. That what I do whenever I get a test.

"But some teachers assign different value to different questions if the test is small..."

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About 14% points each... but some teachers assign different value to different questions if the test is small.
Divide 100 (percent) by 7 (questions)... and you get 14 point something (i didn`t bother to divide it out further)

1 a student takes a test where two points are given for every correct answer and 3 points are deducted for every wrong answer if the students scores 40 points on a 30 question test how many questions did she answer correctly

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